How do you evaluate log_6 18?

1 Answer
May 6, 2016

Log form and index form are interchangeable.
Value = 1.613

Explanation:

Let log_6 18 = x ......................this is in log form

6^x = 18 ...................................this is in index form.

6^1 = 6 and 6^2 = 36, so x should be 1.????

log6^x = log18

xlog6 = log18

x = log18/log6 ....................there are no laws for this.

Use a calculator to find the value

x = 1.613